138291919920

Names of 138291919920

• Cardinal: 138291919920 can be written as One hundred thirty-eight billion, two hundred ninety-one million, nine hundred nineteen thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3829191992 × 10¹¹

Factors of 138291919920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 338

Divisors of 138291919920

• Number of divisors d(n): 1280
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 33 35 36 40 42 44 45 48 49 54 55 56 60 63 66 70 71 72 77 80 84 88 90 98 99 105 108 110 112 120 126 132 135 140 142 144 147 154 165 168 176 180 189 196 198 210 213 216 220 231 239 240 245 252 264 270 280 284 294 297 308 315 330 336 343 355 360 378 385 392 396 420 426 432 440 441 462 478 490 495 497 504 528 539 540 560 568 588 594 616 630 639 660 686 693 710 717 720 735 756 770 781 784 792 840 852 880 882 924 945 956 980 990 994 1008 1029 1065 1078 1080 1136 1155 1176 1188 1195 1232 1260 1278 1320 1323 1372 1386 1420 1434 1470 1485 1491 1512 1540 1562 1584 1617 1673 1680 1704 1715 1764 1848 1890 1912 1917 1960 1980 1988 2058 2079 2130 2151 2156 2160 2205 2310 2343 2352 2376 2390 2485 2520 2556 2629 2640 2646 2695 2744 2772 2840 2868 2940 2970 2982 3024 3080 3087 3124 3195 3234 3346 3408 3430 3465 3479 3528 3585 3696 3773 3780 3824 3834 3905 3920 3960 3976 4116 4158 4260 4302 4312 4410 4473 4620 4686 4752 4780 4851 4970 5019 5040 5112 5145 5258 5292 5390 5467 5488 5544 5680 5736 5880 5940 5964 6160 6174 6248 6390 6453 6468 6615 6692 6860 6930 6958 7029 7056 7170 7455 7546 7560 7668 7810 7887 7920 7952 8085 8232 8316 8365 8520 8604 8624 8820 8946 9240 9261 9372 9560 9585 9702 9940 10038 10224 10290 10395 10437 10516 10584 10755 10780 10934 11088 11319 11472 11711 11715 11760 11880 11928 12348 12496 12780 12906 12936 13145 13230 13384 13419 13720 13860 13916 14058 14340 14553 14910 15057 15092 15120 15336 15435 15620 15774 16170 16401 16464 16632 16730 16969 17040 17208 17395 17640 17892 18403 18480 18522 18744 18865 19120 19170 19404 19880 20076 20580 20790 20874 21032 21087 21168 21510 21560 21868 22365 22638 23422 23430 23661 23760 23856 24255 24353 24696 25095 25560 25812 25872 26290 26460 26768 26838 27335 27440 27720 27832 28116 28680 29106 29820 30114 30184 30672 30870 31240 31311 31548 32265 32340 32802 33264 33460 33938 33957 34416 34790 35133 35145 35280 35784 36806 37044 37488 37730 38269 38340 38808 39435 39760 40152 41160 41580 41748 42064 42174 43020 43120 43736 44730 45171 45276 46305 46844 46860 47322 48510 48706 49203 49392 50190 50907 51120 51624 52185 52580 52920 53676 54670 55209 55440 55664 56232 56595 57360 58212 58555 59640 60228 60368 61740 62480 62622 63096 64530 64680 65604 66920 67095 67876 67914 69580 70266 70290 70983 71568 72765 73059 73612 74088 75285 75460 76538 76680 77616 78870 80304 81977 82005 82320 83160 83496 84348 84845 86040 87472 89460 90342 90552 92015 92610 93688 93720 93933 94644 97020 97412 98406 100380 101814 101871 103248 104370 105160 105399 105435 105840 107352 109340 110418 112464 113190 114807 116424 117110 118305 118783 119280 120456 121765 123480 125244 126192 128821 129060 129360 131208 133840 134190 135752 135828 139160 140532 140580 141966 145530 146118 147224 147609 148176 150570 150920 152721 153076 153360 156555 157740 163954 164010 165627 166320 166992 168696 169690 169785 172080 175665 178920 180684 181104 184030 185220 186659 187376 187440 187866 189288 191345 194040 194824 196812 200760 203628 203742 208740 210320 210798 210870 214704 218680 219177 220836 225855 226380 229614 232848 234220 236610 237566 240912 243530 245931 246015 246960 250488 254535 257642 258120 262416 267883 268380 271504 271656 276045 278320 281064 281160 283932 291060 292236 294448 295218 301140 301840 305442 306152 313110 315480 316197 327908 328020 331254 337392 339380 339570 344421 351330 354915 356349 357840 361368 365295 368060 370440 373318 375732 378576 382690 386463 388080 389648 393624 401520 407256 407484 409885 417480 421596 421740 437360 438354 441672 451710 452760 458163 459228 468440 469665 473220 475132 487060 491862 492030 496881 500976 509070 509355 515284 516240 526995 535766 536760 543312 552090 559977 562128 562320 567864 574035 582120 584472 590436 593915 602280 610884 612304 626220 630960 632394 644105 655816 656040 657531 662508 678760 679140 688842 702660 709830 712698 722736 730590 736120 737793 738045 740880 746636 751464 763605 765380 772926 787248 803649 814512 814968 819770 828135 831481 834960 843192 843480 876708 883344 901747 903420 905520 916326 918456 933295 936880 939330 946440 950264 974120 983724 984060 993762 1018140 1018710 1030568 1033263 1053990 1069047 1071532 1073520 1095885 1104180 1119954 1135728 1148070 1159389 1164240 1168944 1180872 1187830 1204560 1221768 1229655 1252440 1264788 1288210 1306613 1311632 1312080 1315062 1325016 1339415 1357520 1358280 1377684 1405320 1419660 1425396 1461180 1472240 1475586 1476090 1493272 1502928 1527210 1530760 1545852 1580985 1607298 1629936 1639540 1656270 1662962 1679931 1686384 1686960 1722105 1753416 1781745 1803494 1806840 1832652 1836912 1866590 1878660 1892880 1900528 1932315 1948240 1967448 1968120 1987524 2036280 2037420 2061136 2066526 2107980 2138094 2143064 2191770 2208360 2213379 2239908 2290815 2296140 2318778 2361744 2375660 2410947 2443536 2459310 2484405 2494443 2504880 2529576 2576420 2613226 2630124 2650032 2678830 2705241 2716560 2755368 2799885 2810640 2839320 2850792 2922360 2951172 2952180 2986544 3054420 3061520 3091704 3161970 3207141 3214596 3279080 3287655 3312540 3325924 3359862 3444210 3478167 3506832 3563490 3606988 3613680 3665304 3688965 3733180 3757320 3864630 3919839 3934896 3936240 3975048 4018245 4072560 4074840 4133052 4157405 4215960 4276188 4286128 4383540 4416720 4426758 4479816 4508735 4581630 4592280 4637556 4751320 4821894 4918620 4968810 4988886 5039793 5059152 5152840 5166315 5226452 5260248 5345235 5357660 5410482 5510736 5599770 5678640 5701584 5796945 5820367 5844720 5902344 5904360 6108840 6183408 6323940 6414282 6429192 6533065 6558160 6575310 6625080 6651848 6719724 6888420 6956334 7126980 7213976 7232841 7330608 7377930 7466360 7483329 7514640 7729260 7839678 7950096 8036490 8115723 8149680 8266104 8314810 8399655 8431920 8552376 8767080 8853516 8959632 9017470 9146291 9163260 9184560 9275112 9502640 9643788 9837240 9937620 9977772 10079586 10305680 10332630 10452904 10520496 10690470 10715320 10820964 11066895 11199540 11593890 11640734 11759517 11804688 11808720 12054735 12217680 12472215 12647880 12828564 12858384 13066130 13150620 13250160 13303696 13439448 13526205 13776840 13912668 14253960 14427952 14465682 14755860 14932720 14966658 15458520 15679356 16035705 16072980 16231446 16532208 16629620 16799310 17104752 17390835 17461101 17534160 17707032 18034940 18292582 18326520 18550224 19287576 19599195 19674480 19875240 19955544 20159172 20665260 20905808 21380940 21430640 21641928 22133790 22399080 22449987 23187780 23281468 23519034 24109470 24347169 24944430 25198965 25295760 25657128 26132260 26301240 26878896 27052410 27438873 27553680 27825336 28507920 28931364 29101835 29511720 29933316 30917040 31358712 32071410 32145960 32462892 33259240 33598620 34781670 34922202 35278551 35414064 36069880 36164205 36585164 36653040 37416645 38575152 39198390 39750480 39911088 40318344 40578615 41330520 42761880 43283856 44267580 44798160 44899974 45731455 46375560 46562936 47038068 48218940 48694338 49888860 50397930 51314256 52264520 52383303 52602480 54104820 54877746 55650672 57862728 58203670 58797585 59023440 59866632 62717424 64024037 64142820 64291920 64925784 66518480 67197240 69563340 69844404 70557102 72139760 72328410 73170328 74833290 78396780 80636688 81157230 82316619 82661040 85523760 87305505 88535160 89799948 91462910 92751120 93125872 94076136 96437880 97388676 99777720 100795860 104529040 104766606 108209640 109755492 112249935 115725456 116407340 117595170 119733264 121735845 128048074 128285640 129851568 134394480 137194365 139126680 139688808 141114204 144656820 146340656 149666580 156793560 157149909 162314460 164633238 174611010 176392755 177070320 179599896 182925820 188152272 192072111 192875760 194777352 199555440 201591720 209533212 216419280 219510984 224499870 232814680 235190340 243471690 246949857 256096148 256571280 261916515 274388730 278253360 279377616 282228408 289313640 299333160 313587120 314299818 320120185 324628920 329266476 349222020 352785510 359199792 365851640 384144222 389554704 403183440 411583095 419066424 439021968 448999740 465629360 470380680 486943380 493899714 512192296 523833030 548777460 564456816 576216333 578627280 598666320 628599636 640240370 649257840 658532952 698444040 705571020 731703280 768288444 785749545 823166190 838132848 897999480 940761360 960360555 973886760 987799428 1024384592 1047666060 1097554920 1152432666 1234749285 1257199272 1280480740 1317065904 1396888080 1411142040 1536576888 1571499090 1646332380 1728648999 1795998960 1920721110 1947773520 1975598856 2095332120 2195109840 2304865332 2469498570 2514398544 2560961480 2822284080 2881081665 3073153776 3142998180 3292664760 3457297998 3841442220 3951197712 4190664240 4609730664 4938997140 5121922960 5762163330 6285996360 6585329520 6914595996 7682884440 8643244995 9219461328 9877994280 11524326660 12571992720 13829191992 15365768880 17286489990 19755988560 23048653320 27658383984 34572979980 46097306640 69145959960 138291919920
• Sum of all divisors σ(n): 617103360000
• Sum of proper divisors (its aliquot sum) s(n): 478811440080
• 138291919920 is an abundant number, because the sum of its proper divisors (478811440080) is greater than itself. Its abundance is 340519520160

Bases of 138291919920

• Binary: 10000000110010110101110011110000110000₂
• Hexadecimal: 0x2032D73C30
• Base-36: 1RJ3FSC0

Squares and roots of 138291919920

• 138291919920 squared (138291919920²) is 19124655115159692806400
• 138291919920 cubed (138291919920³) is 2644785273683282615594468863488000
• The square root of 138291919920 is 371876.2158568359
• The cube root of 138291919920 is 5171.2905018859

Scales and comparisons

• 138,291,919,920 seconds is equal to 4,397 years, 13 weeks, 1 day, 22 hours, 12 minutes.
• To count from 1 to 138,291,919,920 would take you about eight thousand, seven hundred ninety-four years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 138291919920 cubic inches would be around 430.9 feet tall.

Recreational maths with 138291919920

• 138291919920 backwards is 029919192831
• 138291919920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138291919920's digits is 54
• More coming soon!